Observational constraint on the fourth derivative of the inflaton potential

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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3 pages, 3 figures

Scientific paper

10.1046/j.1365-8711.2003.06164.x

We consider the flow-equations for the 3 slow-roll parameters n_S (scalar spectral index), r (tensor to scalar ratio), and dn_S/dlnk (running of the spectral index). We show that the combination of these flow-equations with the observational bounds from cosmic microwave background and large scale structure allows one to put a lower bound on the fourth derivative of the inflationary potential, M_P^4(V''''/V) > -0.02.

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